Number System


Question 1
Consider the IEEE-754 single precision floating point numbers P=0xC1800000 and Q=0x3F5C2EF4.
Which one of the following corresponds to the product of these numbers (i.e., P x Q), represented in the IEEE-754 single precision format?
A
0x404C2EF4
B
0x405C2EF4
C
0xC15C2EF4
D
0xC14C2EF4
GATE CSE 2023   Digital Logic
Question 2
A particular number is written as 132 in radix-4 representation. The same number in radix-5 representation is _____.
A
158
B
118
C
110
D
98
GATE CSE 2023   Digital Logic


Question 3
Consider three floating point numbers A, B and C stored in registers R_A, R_B and R_C, respectively as per IEEE-754 single precision floating point format. The 32-bit content stored in these registers (in hexadecimal form) are as follows.

R_A=0xC1400000
R_B=0x42100000
R_C=0x41400000

Which one of the following is FALSE?
A
A+C=0
B
C=A+B
C
B=3C
D
(B-C) \gt 0
GATE CSE 2022   Digital Logic
Question 4
Let R1 and R2 be two 4-bit registers that store numbers in 2's complement form. For the operation R1+R2, which one of the following values of R1 and R2 gives an arithmetic overflow?
A
R1 = 1011 and R2 = 1110
B
R1 = 1100 and R2 = 1010
C
R1 = 0011 and R2 = 0100
D
R1 = 1001 and R2 = 1111
GATE CSE 2022   Digital Logic
Question 5
If the numerical value of a 2-byte unsigned integer on a little endian computer is 255 more than that on a big endian computer, which of the following choices represent(s) the unsigned integer on a little endian computer?
[MSQ]
A
0x6665
B
0x0001
C
0x4243
D
0x0100
GATE CSE 2021 SET-2   Digital Logic




There are 5 questions to complete.

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